Gitflow is a branching model for Git that has gained popularity due to its suitability for collaboration and scaling development teams. It involves creating branches for hotfixes, testing workflows, and continuous integration, which are automated through Github Checks and Bitrise Workflows. The process ensures that changes are merged into the Main branch while keeping the Develop branch up to date, but it can lead to edge cases where errors occur during merge due to concurrent updates on the same commit. To manage these edge cases, developers must be aware of the sequence of events and adjust their workflows accordingly, such as switching off the pre-merge toggle or using Github Checks to track the status of testing on a commit.